Finding the Third Proportional to 2,078 and 2,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078 : 2,799.50 = 2,799.50 : x
2. Step 2: Convert to fraction form
   2,078/2,799.50 = 2,799.50/x
3. Step 3: Cross multiply
   2,078x = 2,799.50 × 2,799.50
4. Step 4: Simplify right side
   2,078x = 7,837,200.25
5. Step 5: Solve for x
   x = 7,837,200.25/2,078
6. Step 6: Final answer
   x = 3,771.51